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Finding the Fourth Proportional to 405,349.01, 559,371.78 and 224,056.27

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Solution

The fourth proportional to 405,349.01, 559,371.78 and 224,056.27 is: 309,192.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,349.01 : 559,371.78 = 224,056.27 : x
  2. Step 2: Convert to fraction form
    405,349.01/559,371.78 = 224,056.27/x
  3. Step 3: Cross multiply
    405,349.01x = 559,371.78 × 224,056.27
  4. Step 4: Simplify right side
    405,349.01x = 125,330,755,269.28
  5. Step 5: Solve for x
    x = 125,330,755,269.28/405,349.01
  6. Step 6: Final answer
    x = 309,192.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.